Hoshi Sato mentioned that Chef would be a better choice to get information from Malcolm Reed about his favorite food, but Captain Archer decided that Sato was the better choice and made it her top priority. (ENT: "Silent Enemy")
Chef had become accustomed to making many Vulcan dishes, such as the pok tar. Enterprise's science officer T'Pol stated during the latter part of 2151 that he had become quite good at making Vulcan food. (ENT: "Breaking the Ice", "Fusion")
While forced to temporarily relocate to the cramped catwalk in September, Chef continued to serve his role as ship's cook. His meal of choice, at the time, was pot roast, a dish he served three times in three days, much to Reed's annoyance. (ENT: "The Catwalk")
Serving aboard a starship with no counselors or psychologists, Enterprise crewmembers often found solace in Chef and often discussed their problems with him. For this reason, in 2370, while observing the historic holoprogram detailing Enterprise's last mission, Commander William T. Riker assumed the role of Chef, to better interact with the crew. (ENT: "These Are the Voyages...")
Chef was never given a name beyond his title.
Chef was a character who was never seen, nor heard, with exception of the purposely cropped shot of the character that appeared in "The Catwalk", where he was played by regular background actor and stand-in Richard Sarstedt (who, by coincidence or not, was often a stand-in for Jonathan Frakes, who, as mentioned above, portrayed Riker as the Chef in a hologram). This information is from the call sheet, where he was credited as Richard "Isaac Hayes" Sarstedt, a reference to singer Isaac Hayes, who portrayed the character "Chef" on "South Park" for nine seasons.
In a potential story pitched by Mike Sussman, Chef, played by William Shatner, would've been brought by Daniels into the 23rd century, preserving the timeline by impersonating a legendary descendant during an important historical event. wbm